Error Analysis of Nonlinear WENO Schemes Using Modified Equation

DOI10.1007/978-3-030-39847-7_3zbMath1454.65060OpenAlexW3046989553MaRDI QIDQ5141343

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Publication date: 18 December 2020

Published in: Recent Advances in Engineering Mathematics and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-39847-7_3

zbMATH Keywords

nonlinearityerror normWENOmodified equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Exact nonlinear spectral analysis of nonsmooth WENO-JS solutions

Uses Software

• Maxima

Cites Work

• Unnamed Item
• On the linear stability of the fifth-order WENO discretization
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• Linear Instability of the Fifth-Order WENO Method
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

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